Question

List all possible rational zeros for each polynomial function.

1. P(x)=3x^2-2x^2-5x-2

2. R(x)=12x^3-17x^2-27x+30

Answer 1

For

`P(x)=3x^3-2x^2+5x-2`

all possible rational zeroes are all the possible factors of the constant term -2 express over coefficient of the term with the highest degree of the polynomial which is 3

These are

`(-1)/(3), (1)/(3),(-2)/(3), (2)/(3)`

For

`R(x)=12x^3-17x^2-27x-30`

all possible rational zeroes are all the possible factors of the constant term -30 express over coefficient of the term with the highest degree of the polynomial which is 12

These are

`(-1)/(12), (1)/(12),(-1)/(6), (1)/(6),(-1)/(4), (1)/(4),(-5)/(12), (5)/(12),(-1)/(2), (1)/(2),(-5)/(6), (5)/(6),(-5)/(4), (5)/(4),(-5)/(2), (5)/(2)`